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A quick approach is to simply test the answer choicesharsh8686 wrote:If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
Alternate approach:harsh8686 wrote:If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
Absolute values can be time-consuming to deal with, because you have to split into two different cases and work them out. In this situation, the approach Brent mentioned, testing the answer choices, will be the fastest approach.harsh8686 wrote:If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
Looking at the answer choices we see that when x = 3, we have:harsh8686 wrote:If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
